A Course in Real Algebraic Geometry Positivity and Sums of Squares /

This textbook is designed for a one-year graduate course in real algebraic geometry, with a particular focus on positivity and sums of squares of polynomials. The first half of the book features a thorough introduction to ordered fields and real closed fields, including the Tarski–Seidenberg project...

詳細記述

保存先:

書誌詳細
第一著者:	Scheiderer, Claus (著者)
団体著者:	SpringerLink (Online service)
フォーマット:	電子媒体 eBook
言語:	英語
出版事項:	Cham : Springer International Publishing : Imprint: Springer, 2024.
版:	1st ed. 2024.
シリーズ:	Graduate Texts in Mathematics, 303
主題:	Algebraic geometry. Algebraic fields. Polynomials. Algebra. Convex geometry . Discrete geometry. Mathematical optimization. Algebraic Geometry. Field Theory and Polynomials. Order, Lattices, Ordered Algebraic Structures. Convex and Discrete Geometry. Continuous Optimization.
オンライン･アクセス:	https://doi.org/10.1007/978-3-031-69213-0
タグ:	タグ追加タグなし, このレコードへの初めてのタグを付けませんか!

目次:

1 Ordered Fields
2 Positive Polynomials and Sums of Squares
3 The Real Spectrum
4 Semialgebraic Geometry
5 The Archimedean Property
6 Positive Polynomials with Zeros
7 Sums of Squares on Projective Varieties
8 Sums of Squares and Optimization
Appendix A: Commutative Algebra and Algebraic Geometry
Appendix B: Convex Sets in Real Infinite-Dimensional Vector Spaces.

A Course in Real Algebraic Geometry Positivity and Sums of Squares /

類似資料